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98989056 = 2103223467
BaseRepresentation
bin1011110011001…
…11010000000000
320220021011110100
411321213100000
5200320122211
613453402400
72311251555
oct571472000
9226234410
1098989056
1150970a41
1229199400
131767b60a
14d20aa2c
158a55156
hex5e67400

98989056 has 132 divisors (see below), whose sum is σ = 298894752. Its totient is φ = 31494144.

The previous prime is 98989039. The next prime is 98989057. The reversal of 98989056 is 65098989.

It is a super-2 number, since 2×989890562 = 19597666415542272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 98988993 and 98989011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98989057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211735 + ... + 212201.

Almost surely, 298989056 is an apocalyptic number.

98989056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149447376).

98989056 is an abundant number, since it is smaller than the sum of its proper divisors (199905696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98989056 is a wasteful number, since it uses less digits than its factorization.

98989056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 98989056 is about 9949.3243991740. The cubic root of 98989056 is about 462.5894539415.

The spelling of 98989056 in words is "ninety-eight million, nine hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 467 512 552 576 736 768 828 934 1024 1104 1152 1401 1472 1536 1656 1868 2208 2304 2802 2944 3072 3312 3736 4203 4416 4608 5604 5888 6624 7472 8406 8832 9216 10741 11208 11776 13248 14944 16812 17664 21482 22416 23552 26496 29888 32223 33624 35328 42964 44832 52992 59776 64446 67248 70656 85928 89664 96669 105984 119552 128892 134496 171856 179328 193338 211968 239104 257784 268992 343712 358656 386676 478208 515568 537984 687424 717312 773352 1031136 1075968 1374848 1434624 1546704 2062272 2151936 2749696 3093408 4124544 4303872 5499392 6186816 8249088 10998784 12373632 16498176 24747264 32996352 49494528 98989056